QUASIPERIODIC DYNAMICS OF CONTROL SYSTEM WITH PULSE-WIDTH MODULATION
South-West State University, Department of Computer Science and Engineering, Kursk; Professor
A. I. Andriyanov
South-West State University, Department of Radioelectronic and Electrotechnical systems, Kursk;
A. A. Mikhalev
South-West State University, Department of Computer Science and Engineering, Kursk; Post-Graduate Student
V. V. Shein
South-West State University, Department of Computer Science and Engineering, Kursk; Post-Graduate Student
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Abstract. Dynamics of control system with sinusoidal pulse-width modulation is studied. Bifurcation analysis of a 2D model of single-phase pulse-width modulated inverter is carried out. It is shown that along with classical Neimark–Sacker bifurcation, the system demonstrates an invariant torus originated from a periodic motion through a border-collision bifurcation.
Keywords:
single-phase inverter, border-collision bifurcation, invariant torus, piecewise-smooth dynamical systems
